It is well known that for increasingly rarefied flowfields, the predictions from continuum formulation, such as the Navier–Stokes equations lose accuracy. For the high speed diatomic molecular flow in the transitional regime, the inaccuracies are partially attributed to the single temperature approximations in the Navier–Stokes equations. Here, we propose a continuum multiple temperature model ...

NABAVI, SEYEDBEHZAD. Kinetic Parameter Estimation in Oscillatory Biochemical Systems. (Under the direction of Cranos M. Williams.) Oscillatory pathways are among the most important classes of biochemical systems with examples such as circadian rhythms and cell cycles. Mathematical modeling of these highly interconnected biochemical networks is needed to meet numerous objectives such as investig...

This review traces the history and logical progression of methods for quantitative analysis of enzyme kinetics from the 1913 Michaelis and Menten paper to the application of modern computational methods today. Following a brief review of methods for fitting steady state kinetic data, modern methods are highlighted for fitting full progress curve kinetics based upon numerical integration of rate...

We present a kinetic theory for swarming systems of interacting, self-propelled discrete particles. Starting from the Liouville equation for the many-body problem we derive a kinetic equation for the single particle probability distribution function and the related macroscopic hydrodynamic equations. General solutions include flocks of constant density and fixed velocity and other non-trivial m...

The system of shallow water waves is one of the classical examples for nonlinear, twodimensional conservation laws. The paper investigates a simple kinetic equation depending on a parameter " which leads for " ! 0 to the system of shallow water waves. The corresponding 'equilibrium' distribution function has a compact support which depends on the eigenvalues of the hyperbolic system. It is show...

The energy density of high frequency waves propagating in highly oscillatory random media is well approximated by solutions of deterministic kinetic models. The scintillation function determines the statistical instability of the kinetic solution. This paper analyzes the single scattering term in the scintillation function. This is the term of the scintillation function that is linear in the po...

Rockers are applied to lower limb casts to assist walking but there is little information on their biomechanical effects. The performances of 10 commercially available rockers were compared. They were applied to a below-knee cast worn by a normal subject who was also tested walking in the cast alone. Gait analysis was used to evaluate kinematic and kinetic data. The design of rocker had no effe...

The newly developed high-order-accurate multidimensional gas-kinetic scheme is further investigated, including the benefit of the consideration of tangential slopes in the flux function at a cell interface, and the application of the scheme in turbulence simulation. The present study shows that in despite of increasing of computational cost, the multidimensional scheme can evidently improve the...

background: nicotine, cotinine and cadmium are harmful components of cigarettes that have an effect on human reproductive function. although the effects of cigarette smoke on male reproductive function is characterized in several articles its mechanism of action is still unknown. in the present study, we investigate the effect of nicotine, cotinine and cadmium on human sperm creatine kinase act...

Parameter values for a kinetic model of the nuclear replication-division cycle in frog eggs are estimated by fitting solutions of the kinetic equations (nonlinear ordinary differential equations) to a suite of experimental observations. A set of optimal parameter values is found by minimizing an objective function defined as the orthogonal distance between the data and the model. The differenti...